This study examines the dissemination mechanisms of traditional culture within the new media environment using Petri networks, focusing on sports, fitness, and athlete engagement. By leveraging Web integration and advanced media strategies, the research aims to enhance the transmission of cultural heritage, such as traditional Chinese poetry, amidst the growing complexity of digital networks. Addressing challenges like packet loss, communication delays, and quantization errors in network-controlled systems (NCS), the study proposes optimized clustering algorithms for more accurate network structure data. The findings emphasize the importance of preserving and promoting cultural heritage through innovative digital means